maybe it will be without kratos but the same style with a new mithology. It cant be done with kratos this is just not right. greek mythology cant be tied togethe with egyptian mythology or roman mythology.
I think it will be a new guy completly fresh similar story with another mythology I can see it happen with the roman mythology.
God of war would be Mars and instead of Zeus there would be Jupiter and the other ones Venus Apollo Ceres Neptun. It is pretty similar because it is practically based on greek gods.
Or it could happen with egyptian mythology Re Horus Osiris.
Or with germanic/nordic mythology Loki Odin Thor.
kratos cant be reused except in a prequel.
I think they will go for roman mythology because its the nearest. They wont tie them together that would make no sense.
It would be somehow cool but it just doesnt fit. They used the greek mythology without breaking the hystorical rules and if kratos would kill other gods it would make no sense.